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100001001120210 = 23354171127232593
BaseRepresentation
bin10110101111001101001100…
…001001100010000111010010
3111010002000001201002201001000
4112233031030021202013102
5101101404022241321320
6552403454204122430
730030556013420121
oct2657151411420722
9433060051081030
10100001001120210
1129955206125653
12b270a44b36416
1343a5091685c78
141a9a107b71ab8
15b863c7622c90
hex5af34c2621d2

100001001120210 has 128 divisors (see below), whose sum is σ = 277020982264320. Its totient is φ = 25650090547200.

The previous prime is 100001001120199. The next prime is 100001001120277. The reversal of 100001001120210 is 12021100100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001001120192 and 100001001120201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62830327 + ... + 64402266.

It is an arithmetic number, because the mean of its divisors is an integer number (2164226423940).

Almost surely, 2100001001120210 is an apocalyptic number.

100001001120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001001120210 is an abundant number, since it is smaller than the sum of its proper divisors (177019981144110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001001120210 is a wasteful number, since it uses less digits than its factorization.

100001001120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127232721 (or 127232715 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001001120210 its reverse (12021100100001), we get a palindrome (112022101220211).

The spelling of 100001001120210 in words is "one hundred trillion, one billion, one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 71 82 90 123 135 142 205 213 246 270 355 369 410 426 615 639 710 738 1065 1107 1230 1278 1845 1917 2130 2214 2911 3195 3690 3834 5535 5822 6390 8733 9585 11070 14555 17466 19170 26199 29110 43665 52398 78597 87330 130995 157194 261990 392985 785970 127232593 254465186 381697779 636162965 763395558 1145093337 1272325930 1908488895 2290186674 3435280011 3816977790 5216536313 5725466685 6870560022 9033514103 10433072626 11450933370 15649608939 17176400055 18067028206 26082681565 27100542309 31299217878 34352800110 45167570515 46948826817 52165363130 54201084618 78248044695 81301626927 90335141030 93897653634 135502711545 140846480451 156496089390 162603253854 234744134085 243904880781 271005423090 281692960902 370374078223 406508134635 469488268170 487809761562 704232402255 740748156446 813016269270 1111122234669 1219524403905 1408464804510 1851870391115 2222244469338 2439048807810 3333366704007 3703740782230 5555611173345 6666733408014 10000100112021 11111222346690 16666833520035 20000200224042 33333667040070 50000500560105 100001001120210